Khan Academy: Linear Algebra: Showing That the Candidate Basis Does Span C(a)

Video first reviews how to find the basis for the column space of a matrix using the reduced row echelon form. Proves that the basis for the column space using the reduced row echelon form method spans the column space. Uses this and the linear independence of the basis shown in the previous video to prove the basis for the column space using the reduced row echelon form is a valid basis for the column space. This video also appears in strand Algebra: Matrices. [13:40]